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Finding the Fourth Proportional to 1,787.62, 2,467.02 and 1,001.71

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Solution

The fourth proportional to 1,787.62, 2,467.02 and 1,001.71 is: 1,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.62 : 2,467.02 = 1,001.71 : x
  2. Step 2: Convert to fraction form
    1,787.62/2,467.02 = 1,001.71/x
  3. Step 3: Cross multiply
    1,787.62x = 2,467.02 × 1,001.71
  4. Step 4: Simplify right side
    1,787.62x = 2,471,238.60
  5. Step 5: Solve for x
    x = 2,471,238.60/1,787.62
  6. Step 6: Final answer
    x = 1,382.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.